Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method
In this paper, a coupled displacement field (CDF) method was proposed to examine the free vibration behavior of a functionally graded (FG) rectangular plate with simply supported (SSSS) and clamped (CCCC) boundary conditions. The composition of the functionally graded rectangular plate is ceramic on...
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Semnan University
2025-04-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_8822_d2734ce5f7f404bad71aa23469dd0a70.pdf |
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| author | Nathi Venkatalakshmi Kalidindi Krishnabhaskar Koppanati Meerasaheb |
| author_facet | Nathi Venkatalakshmi Kalidindi Krishnabhaskar Koppanati Meerasaheb |
| author_sort | Nathi Venkatalakshmi |
| collection | DOAJ |
| description | In this paper, a coupled displacement field (CDF) method was proposed to examine the free vibration behavior of a functionally graded (FG) rectangular plate with simply supported (SSSS) and clamped (CCCC) boundary conditions. The composition of the functionally graded rectangular plate is ceramic on the top and metal on the bottom. According to the power-law exponent form, the rectangular plate material properties vary continuously in the thickness direction. The trial functions signifying the displacement constituents of the cross-sections of the plate are stated in simple algebraic polynomial forms. The lateral displacement field is derived in terms of the total rotations with the help of coupling equations. By utilizing the energy formulation, the undetermined coefficients are obtained. The frequency parameters with various aspect ratios, thickness ratios, and power-law for all edges are simply supported and clamped boundary conditions are derived. To validate the numerical results, a comparison of frequency parameters is done with other literature. |
| format | Article |
| id | doaj-art-4cd421f5675f4f009aa24c3ac84984bb |
| institution | Kabale University |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-4cd421f5675f4f009aa24c3ac84984bb2025-01-20T11:30:30ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432025-04-01121738410.22075/macs.2024.31540.15528822Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field MethodNathi Venkatalakshmi0Kalidindi Krishnabhaskar1Koppanati Meerasaheb2Department of Mechanical Engineering, University College of Engineering(A), JNTUK, Kakinada, 533003, Andhra Pradesh, IndiaDepartment of Mechanical Engineering, University College of Engineering(A), JNTUK, Kakinada, 533003, Andhra Pradesh, IndiaDepartment of Mechanical Engineering, University College of Engineering(A), JNTUK, Kakinada, 533003, Andhra Pradesh, IndiaIn this paper, a coupled displacement field (CDF) method was proposed to examine the free vibration behavior of a functionally graded (FG) rectangular plate with simply supported (SSSS) and clamped (CCCC) boundary conditions. The composition of the functionally graded rectangular plate is ceramic on the top and metal on the bottom. According to the power-law exponent form, the rectangular plate material properties vary continuously in the thickness direction. The trial functions signifying the displacement constituents of the cross-sections of the plate are stated in simple algebraic polynomial forms. The lateral displacement field is derived in terms of the total rotations with the help of coupling equations. By utilizing the energy formulation, the undetermined coefficients are obtained. The frequency parameters with various aspect ratios, thickness ratios, and power-law for all edges are simply supported and clamped boundary conditions are derived. To validate the numerical results, a comparison of frequency parameters is done with other literature.https://macs.semnan.ac.ir/article_8822_d2734ce5f7f404bad71aa23469dd0a70.pdfaspect ratiofirst-order shear deformation theoryfrequency parameterspower lawthickness ratio |
| spellingShingle | Nathi Venkatalakshmi Kalidindi Krishnabhaskar Koppanati Meerasaheb Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method Mechanics of Advanced Composite Structures aspect ratio first-order shear deformation theory frequency parameters power law thickness ratio |
| title | Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method |
| title_full | Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method |
| title_fullStr | Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method |
| title_full_unstemmed | Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method |
| title_short | Free Vibration Analysis of Simply Supported and Clamped Functionally Graded Rectangular Plate Using Coupled Displacement Field Method |
| title_sort | free vibration analysis of simply supported and clamped functionally graded rectangular plate using coupled displacement field method |
| topic | aspect ratio first-order shear deformation theory frequency parameters power law thickness ratio |
| url | https://macs.semnan.ac.ir/article_8822_d2734ce5f7f404bad71aa23469dd0a70.pdf |
| work_keys_str_mv | AT nathivenkatalakshmi freevibrationanalysisofsimplysupportedandclampedfunctionallygradedrectangularplateusingcoupleddisplacementfieldmethod AT kalidindikrishnabhaskar freevibrationanalysisofsimplysupportedandclampedfunctionallygradedrectangularplateusingcoupleddisplacementfieldmethod AT koppanatimeerasaheb freevibrationanalysisofsimplysupportedandclampedfunctionallygradedrectangularplateusingcoupleddisplacementfieldmethod |